Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400v |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-8383500000000 = -1 · 28 · 36 · 59 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,-137500] |
[a1,a2,a3,a4,a6] |
Generators |
[50:250:1] |
Generators of the group modulo torsion |
j |
1024/23 |
j-invariant |
L |
6.9325161757369 |
L(r)(E,1)/r! |
Ω |
0.35677231477202 |
Real period |
R |
1.2144503456223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800ce1 4600p1 41400cf1 |
Quadratic twists by: -4 -3 5 |